Finding the Fourth Proportional to 2,386.53, 3,578.17 and 1,509.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,386.53 : 3,578.17 = 1,509.57 : x
2. Step 2: Convert to fraction form
   2,386.53/3,578.17 = 1,509.57/x
3. Step 3: Cross multiply
   2,386.53x = 3,578.17 × 1,509.57
4. Step 4: Simplify right side
   2,386.53x = 5,401,498.09
5. Step 5: Solve for x
   x = 5,401,498.09/2,386.53
6. Step 6: Final answer
   x = 2,263.33